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Finding the Third Proportional to 27,993 and 60,496.50

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Solution

The third proportional to 27,993 and 60,496.50 is: 130,740.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,993 : 60,496.50 = 60,496.50 : x
  2. Step 2: Convert to fraction form
    27,993/60,496.50 = 60,496.50/x
  3. Step 3: Cross multiply
    27,993x = 60,496.50 × 60,496.50
  4. Step 4: Simplify right side
    27,993x = 3,659,826,512.25
  5. Step 5: Solve for x
    x = 3,659,826,512.25/27,993
  6. Step 6: Final answer
    x = 130,740.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.